Symetries of modules of differential operators on S^1|1

2013/06/01 by Imen Safi, Safi, Imen, Khaled Tounsi +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1306.0104

This paper has been withdrawn by the author due to many errors

arxiv created 2014/04/26 · arxiv updated 2014/04/29

Abstract

Let \frak F_ł be the space of tensor densities of degree λ on the supercircle S^1|1. We consider the space \mathfrakD_λ,μ^k of k-th order linear differential operators from \frak F_ł to \frak F_μ as \mathfrakosp(1|2)-module and we determine the space \mathfrakI_λ,μ^k of linear maps on \mathfrakD_λ,μ^k commuting with the \mathfrakosp(1|2)-action.

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